Customized Quantum Annealing Schedules Article Swipe
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· 2022
· Open Access
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· DOI: https://doi.org/10.1103/physrevapplied.17.044005
· OA: W3134144170
In a typical quantum annealing protocol, the system starts with a transverse\nfield Hamiltonian which is gradually turned off and replaced by a longitudinal\nIsing Hamiltonian. The ground state of the Ising Hamiltonian encodes the\nsolution to the computational problem of interest, and the state overlap with\nthis ground state gives the success probability of the annealing protocol. The\nform of the annealing schedule can have a significant impact on the ground\nstate overlap at the end of the anneal, so precise control over these annealing\nschedules can be a powerful tool for increasing success probabilities of\nannealing protocols. Here we show how superconducting circuits, in particular\ncapacitively shunted flux qubits (CSFQs), can be used to construct quantum\nannealing systems by providing tools for mapping circuit flux biases to Pauli\ncoefficients. We use this mapping to find customized annealing schedules:\nappropriate circuit control biases that yield a desired annealing schedule,\nwhile accounting for the physical limitations of the circuitry. We then provide\nexamples and proposals that utilize this capability to improve quantum\nannealing performance.\n